1032041088000 has 2640 divisors, whose sum is σ = 4525419824640. Its totient is φ = 232906752000.

The previous prime is 1032041087989. The next prime is 1032041088017. The reversal of 1032041088000 is 8801402301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33291647985 + ... + 33291648015.

It is an arithmetic number, because the mean of its divisors is an integer number (1714174176).

Almost surely, 2^{1032041088000} is an apocalyptic number.

1032041088000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032041088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262709912320).

1032041088000 is an abundant number, since it is smaller than the sum of its proper divisors (3493378736640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1032041088000 is a wasteful number, since it uses less digits than its factorization.

1032041088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1032041088000 in words is "one trillion, thirty-two billion, forty-one million, eighty-eight thousand".